On a supercongruence conjecture of Rodriguez-Villegas
Number Theory
2012-04-10 v1
Abstract
In examining the relationship between the number of points over on certain Calabi-Yau manifolds and hypergeometric series which correspond to a particular period of the manifold, Rodriguez-Villegas identified numerically 22 possible supercongruences. We prove one of the outstanding supercongruence conjectures between a special value of a truncated generalized hypergeometric series and the -th Fourier coefficient of a modular form.
Keywords
Cite
@article{arxiv.1204.1575,
title = {On a supercongruence conjecture of Rodriguez-Villegas},
author = {Dermot McCarthy},
journal= {arXiv preprint arXiv:1204.1575},
year = {2012}
}